P(x, y) is the endpoint of the unit circle determined by t. Then&nbsp;sin⁡t=,cos⁡t=,&nbsp;and&nbsp;tan⁡t=.

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P(x, y) is the endpoint of the unit circle determined by t. Then&amp;nbsp;sin⁡t=,cos⁡t=,&amp;nbsp;and&amp;nbsp;tan⁡t=.

joshyoung05M · Accepted Answer

According to the definition,&amp;nbsp;sin⁡t&amp;nbsp;is equivalent to y.&amp;nbsp;cos⁡t&amp;nbsp;is equivalent to x.&amp;nbsp;tan⁡t&amp;nbsp;is equivalent to&amp;nbsp;yx.&amp;nbsp;The unidentified terms are&amp;nbsp;x,y,yx.

Eliza Beth13 · Accepted Answer

Answer:sint=ycost=xtant=sintcostExplanation:Let&#039;s solve the problem step by step:1. Sine of angle t (sint):We know that the sine of an angle is defined as the y-coordinate of the corresponding point on the unit circle. Therefore, sint=y.2. Cosine of angle t (cost):Similarly, the cosine of an angle is defined as the x-coordinate of the corresponding point on the unit circle. Hence, cost=x.3. Tangent of angle t (tant):Tangent is the ratio of sine to cosine, so tant=sintcost.

madeleinejames20 · Accepted Answer

Let&#039;s assume that the angle t is measured counterclockwise from the positive x-axis to the line segment connecting the origin to the point P(x, y).To find sin t, we can use the y-coordinate of the point P. Since P lies on the unit circle, the y-coordinate is equal to sin t.Therefore, sint=y.To find cos t, we can use the x-coordinate of the point P. Similarly, since P lies on the unit circle, the x-coordinate is equal to cos t.Therefore, cost=x.Finally, to find tan t, we can divide the y-coordinate by the x-coordinate, as tan t is defined as the ratio of sin t to cos t.Therefore, tant=yx.These are the solutions for sin t, cos t, and tan t based on the given endpoint P(x, y) on the unit circle.

Mr Solver · Accepted Answer

Step 1:To solve the problem, we need to find the values of sint, cost, and tant given that P(x,y) is the endpoint of the unit circle determined by t.In a unit circle, the coordinates of a point on the circle can be expressed as (cost,sint), where t is the angle measured from the positive x-axis to the terminal side of the angle.Step 2:Therefore, in this case, we have P(x,y)=(cost,sint).Hence, we can determine the values of sint, cost, and tant as follows:sint=ycost=xtant=sintcost=yxThus, the values of sint, cost, and tant for the endpoint P(x,y) of the unit circle determined by t are sint=y, cost=x, and tant=yx.

Let P(x, y) be the terminal point on the unit circle determined by t. Then si

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